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Finding the Fourth Proportional to 66,462.16, 99,693.23 and 19,714.63

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Solution

The fourth proportional to 66,462.16, 99,693.23 and 19,714.63 is: 29,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,462.16 : 99,693.23 = 19,714.63 : x
  2. Step 2: Convert to fraction form
    66,462.16/99,693.23 = 19,714.63/x
  3. Step 3: Cross multiply
    66,462.16x = 99,693.23 × 19,714.63
  4. Step 4: Simplify right side
    66,462.16x = 1,965,415,142.95
  5. Step 5: Solve for x
    x = 1,965,415,142.95/66,462.16
  6. Step 6: Final answer
    x = 29,571.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.